WebApr 23, 2015 · Apr 23, 2015. You can solve this problem by using the quotient rule . y = arcsin(3x) x = u v. u = arcsin(3x) sinu = 3x. cosu ⋅ du dx = 3. du dx = 3 cosu = 3 √1 −9x2. v = x, dv dx = 1. dy dx = x ⋅ 3 √1−9x2 −arcsin(3x) ⋅ 1 x2. WebThe arcsin function helps us find the measure of an angle corresponding to the sine function value. We can also find the measure of an angle in a triangle using the arcsin formula derived using the law of sines. What is the Derivative of Arcsin x? The derivative of arcsin is given by, d/dx(arcsin x) = 1/√(1 - x²).
Inverse trigonometric functions - Wikipedia
WebNov 4, 2024 · The derivative of the arcsine function, also known as the inverse sine function, can be found by using the formula d/dx (sin^-1x) = 1/√ (1-x^2). This formula is derived using the first principle method and can be used to find the rate of change of the arcsine function with respect to the variable x. The arcsine function is the inverse of the ... WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. chip has hobbled auto industry
Formula, Proof, Examples Derivative of Arcsin x - Cuemath
WebFind the Derivative - d/dx arcsin(2x) Differentiate using the chain rule, which states that is where and . Tap for more steps... To apply the Chain Rule, set as . The derivative of with respect to is . Replace all occurrences of with . Differentiate. Tap for more steps... Factor out of . Simplify the expression. WebFeb 27, 2024 · This calculus video tutorial provides a basic introduction into the derivatives of inverse trigonometric functions. it explains how to find the derivative o... WebNov 4, 2024 · The derivative of the arcsine function, also known as the inverse sine function, can be found by using the formula d/dx (sin^-1x) = 1/√ (1-x^2). This formula is … chip haskell insurance